13.1k views
19 votes
Find the angle θ between vectors r and s, where |r| = 16, |s| = 9, and r · s = 125.

User EdFred
by
7.8k points

2 Answers

7 votes

Answer: C. θ = 29.77°

Explanation:

Find the angle θ between vectors r and s, where |r| = 16, |s| = 9, and r · s = 125.-example-1
User Franco Pettigrosso
by
7.6k points
13 votes

Explanation:

Hi there!

From the question;

|r| = 16

|s| = 9

And r.s = 125

We know that;


r.s = |r| . |s| * \cos(θ)

Now, Keep the values from given;

125 = 16*9*(cosθ)

cos θ= 125/144

cos θ = 0.86

θ = cos'(0.86)

θ = 30.68°

Therefore, the angle of θ made by vector r and s is 30.68°.

Hope it helps!

User Ria
by
7.7k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories